Low inventories, pent-up demand and fears of rising mortgage rates have pushed the median price of single-family homes above their 2005 peak in 27 Eastern Massachusetts communities, according to a Boston Business Journal analysis of Warren Group data.

The communities with the biggest appreciation include the downtown Boston neighborhoods of Back Bay, Beacon Hill, South End, North End, West End, Kenmore Square and the waterfront. The Warren Group lumps these neighborhoods into a Boston category, where the median single-family home value has swelled by 63 percent above its 2005 peak.

Take a look at median-home-price data on the 27 communities in an interactive table, below.

If you don’t live in one of those 27 communities, fear not. Sales of Massachusetts single-family homes rose by nearly 14 percent in August, marking the best August since 2005, according to The Warren Group. A total of 5,925 single-family homes sold in Massachusetts in August, up from 5,204 sales in August 2012. This is the third time sales have surpassed the 5,000 mark this year. Year-to-date sales are up more than 5 percent at 33,523, compared to 31,851 during the same period a year ago.

While sales swelled, the median price of a single-family home increased 10.6 percent to $340,000 in August, up from $307,500 a year earlier. This marks the 11th straight month of median price increases. The median price for homes sold January through August was $325,000, up more than 12 percent from $290,000 in the prior year.